Atkin-Lehner |
2+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550q |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-1171130000 = -1 · 24 · 54 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -4 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22801,-1327052] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1042:1] |
Generators of the group modulo torsion |
j |
-2097384228460825/1873808 |
j-invariant |
L |
3.8350161415336 |
L(r)(E,1)/r! |
Ω |
0.19425998184135 |
Real period |
R |
4.9354170948895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550y1 |
Quadratic twists by: 5 |